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| ファイル | 記述 | サイズ | フォーマット | |
|---|---|---|---|---|
| s00209-023-03386-4.pdf | 563.12 kB | Adobe PDF | 見る/開く |
| タイトル: | Deformed Cartan matrices and generalized preprojective algebras II: general type |
| 著者: | Fujita, Ryo    https://orcid.org/0000-0003-4905-2402 (unconfirmed)Murakami, Kota |
| 著者名の別形: | 藤田, 遼 村上, 浩大 |
| キーワード: | Deformed Cartan matrices Braid group actions Generalized preprojective algebras Categorifications 16G20 17B37 16W50 17B67 81R50 |
| 発行日: | Dec-2023 |
| 出版者: | Springer Nature |
| 誌名: | Mathematische Zeitschrift |
| 巻: | 305 |
| 号: | 4 |
| 論文番号: | 63 |
| 抄録: | We propose a definition of deformed symmetrizable generalized Cartan matrices with several deformation parameters, which admit a categorical interpretation by graded modules over the generalized preprojective algebras in the sense of Geiß–Leclerc–Schröer. Using the categorical interpretation, we deduce a combinatorial formula for the inverses of our deformed Cartan matrices in terms of braid group actions. Under a certain condition, which is satisfied in all the symmetric cases or in all the finite and affine cases, our definition coincides with that of the mass-deformed Cartan matrices introduced by Kimura–Pestun in their study of quiver W-algebras. |
| 著作権等: | © The Author(s) 2023 This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. |
| URI: | http://hdl.handle.net/2433/286956 |
| DOI(出版社版): | 10.1007/s00209-023-03386-4 |
| 出現コレクション: | 学術雑誌掲載論文等 |
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